71 citations · 75 across the 5 of their papers we have counts for
5 papers
Adaptive isogeometric phase-field modeling of the Cahn-Hilliard equation: Suitably graded hierarchical refinement and coarsening on multi-patch geometries
Cesare Bracco, Carlotta Giannelli, Alessandro Reali +2
We present an adaptive scheme for isogeometric phase-field modeling, to perform suitably graded hierarchical refinement and coarsening on both single- and multi-patch geometries by…
High order geometric methods with splines: fast solution with explicit time-stepping for Maxwell equations
Bernard Kapidani, Rafael Vázquez
We introduce a high-order spline geometric approach for the initial boundary value problem for Maxwell's equations. The method is geometric in the sense that it discretizes in stru…
Adaptive isogeometric methods with (truncated) hierarchical splines on planar multi-patch domains
Cesare Bracco, Carlotta Giannelli, Mario Kapl +1
Isogeometric analysis is a powerful paradigm which exploits the high smoothness of splines for the numerical solution of high order partial differential equations. However, the ten…
Isogeometric analysis with hierarchical functions on planar two-patch geometries
Cesare Bracco, Carlotta Giannelli, Mario Kapl +1
Adaptive isogeometric methods for the solution of partial differential equations rely on the construction of locally refinable spline spaces. A simple and efficient way to obtain t…
Suitably graded THB-spline refinement and coarsening: Towards an adaptive isogeometric analysis of additive manufacturing processes
Massimo Carraturo, Carlotta Giannelli, Alessandro Reali +1
In the present work we introduce a complete set of algorithms to efficiently perform adaptive refinement and coarsening by exploiting truncated hierarchical B-splines (THB-splines)…